Restco is a mattress company which is considering to produce $3$ new types of mattresses; Cool Action,

Aqua Nova and Dream Box. $60000$ hours of labor and $60$ tons of foam are available to produce these

mattresses. The profits yielded by each type of mattress are $2000$ TL$,3000$ TL$,4000$ TL respectively. The

resources required for each type of mattress are given in the Table below;

Cool Action Aqua Nova Dream Box

Foam Required $15$ kg $30$ kg $50$ kg

Labor Required $30$ hours $25$ hours $40$ hours

To be economically feasible, for each type of mattress, at least $1000$ mattresses of that type must be

produced or none must be produced. Formulate an IP to help Restco how many of each type of mattress

it should produce to maximize its profit.